5 papers
Differentiation and Covering Constants for Hilbert-Schmidt and Quasi-Hilbert-Schmidt Operators
Jinlu Li
In this paper, we calculate the Frechet derivatives and Mordukhovich derivatives (or coderivatives) of Hilbert Schmidt operators on separable Hilbert spaces, by which we prove that…
Some Applications of Arutyunov Mordukhovich Zhukovskiy Theorem to Stochastic Integral Equations
Jinlu Li
Mordukhovich derivatives (Mordukhovich coderivatives) of set-valued mappings in Banach spaces have firmly laid the foundation of the theory of generalized differentiation in set-va…
Calculating Covering Constants for Mappings in Euclidean Spaces Using Mordukhovich Coderivatives with Applications
Jinlu Li
In this paper, we calculate the covering constants for single-valued mappings in Euclidean space by using Mordukhovich derivatives (or coderivatives). At first, we prove the guidel…
Frechet and Mordukhovich Derivative (Coderivative) and Covering Constant for Single-Valued Mapping in Euclidean Space with Application (II)
Jinlu Li
We continue the study in part I for calculating the Frechet derivatives and Mordukhovich derivatives (coderivatives) and covering constants for single-valued mappings in Euclidean…
Frechet and Mordukhovich Derivative (Coderivative) and Covering Constant for Single-Valued Mapping in Euclidean Space with Applications (I)
Jinlu Li
In this paper, we study Frechet derivatives and Mordukhovich derivatives (or coderivatives) of single-valued mappings in Euclidean spaces. At first, we prove the guideline for calc…